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Finding the Fourth Proportional to 810.01, 1,117.89 and 456.02

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Solution

The fourth proportional to 810.01, 1,117.89 and 456.02 is: 629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.01 : 1,117.89 = 456.02 : x
  2. Step 2: Convert to fraction form
    810.01/1,117.89 = 456.02/x
  3. Step 3: Cross multiply
    810.01x = 1,117.89 × 456.02
  4. Step 4: Simplify right side
    810.01x = 509,777.92
  5. Step 5: Solve for x
    x = 509,777.92/810.01
  6. Step 6: Final answer
    x = 629.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.